A baseball team is practicing throwing balls vertically upward to test their throwing arms. A player manages to throw a ball that reaches a maximum altitude of 10 m above the launch point, before falling back down. The acceleration due to gravity is 9.80 m/s 2 . (a) With what initial speed was the ball thrown? (b) How long did it take for the ball to reach its maximum altitude?
A weightlifter is attempting a biceps curl with a 200 n barbell. the moment arm of the barbell about the elbow joint is 40 cm. the moment arm of the elbow flexor muscles is 4 cm. how much force must be produced by these muscles to hold the 200 n barbell in static equilibrium?
Final answer:
The biceps muscles need to produce a force of 2000 N to hold the 200 N barbell in static equilibrium.
Explanation:
To hold the 200 N barbell in static equilibrium, the biceps muscles need to produce a force equal to the weight of the barbell. The moment arm of the barbell about the elbow joint is 40 cm, so the torque exerted by the barbell is calculated as:
Torque = Force x Moment Arm
Torque = 200 N x 40 cm = 8000 N·cm
The moment arm of the elbow flexor muscles is 4 cm. To maintain static equilibrium, the torque exerted by the biceps muscles must be equal and opposite to the torque exerted by the barbell:
Torque biceps = Torque barbell
Force biceps x Moment Arm biceps = Force barbell x Moment Arm barbell
Force biceps x 4 cm = 200 N x 40 cm
Force biceps = (200 N x 40 cm) / 4 cm
Force biceps = 2000 N
A hypothetical spherical planet consists entirely of iron. what is the period of a satellite that orbits this planet just above its surface?
The orbital period of a satellite orbiting just above the surface of a hypothetical iron planet is approximately 84.5 minutes. This calculation uses Kepler's third law and the known density of iron. The result is derived after integrating the gravitational constant and mass into the formula.
Orbital Period of a Satellite Around an Iron Planet
To determine the period of a satellite orbiting just above the surface of a hypothetical spherical planet made entirely of iron, we can use Kepler's third law in conjunction with some known information about iron and orbital mechanics.
The formula we use here is:
T = 2π √(r³ / GM)
where:
T is the orbital period.r is the radius of the planet.G is the gravitational constant, 6.67430 × 10-11 m³ kg-1 [tex]s^{-2[/tex].M is the mass of the planet.First, we need to calculate the radius of the iron planet. Iron has a density of about 7874 kg/m³. If we assume the planet has a volume V, the mass M can be related to the density ρ and radius r by:
V = 4/3 π r³
M = V × ρ or M = (4/3) π r³ ρ
Next, we substitute this mass into the orbital period formula:
T = 2π √[r³ / G (4/3 π r³ ρ)]
Simplifying, we get:
T = 2π √[3/(4πG ρ)]
Plugging in the values:
ρ = 7874 kg/m³
T = 2π √[3/(4π × 6.67430 × 10-11 m³ kg-1 s-2 × 7874 kg/m³)]
After performing the calculation:
T ≈ 5069.9 seconds ≈ 84.5 minutes
Thus, the orbital period of a satellite just above the surface of an iron planet is approximately 84.5 minutes.
Suppose the ring rotates once every 3.80 s . if a rider's mass is 59.0 kg , with how much force does the ring push on her at the top of the ride?
A balloon at an amusement park has 1,500 g of gas. By what amount will the mass of the balloon decrease if all the gas inside it escapes?
- 750 g
- 1,500 g
-2,000 g
- 3,000 g
SOMEONE PLEASE HELP ME IT WILL BE SOOOO APPRECAITED!
Answer:
Answer 1,500 g
because if it has 1,500 g and it loses ALL of the gas...
then it will lose 1,500 g
Hope this Helps!
The desert and tundra are alike because they both have
A) extreme daily temperature changes.
B) large seasonal variation.
C) limited available water.
D) sandy soils.
Roberto was testing how light interacted with a material he had just developed. The initial speed of light was 3.0 × 108 m/s. The final speed of light after it changed direction was 1.7 × 108 m/s. What type of interaction took place?
The answer to the question would be Refraction.
as we know the two possible answers are refraction and reflection. The questions shows a decrease in speed thus being refraction as a ray in a reflection would not lose its speed. Hope this helps!
Analyzing the question, we can classify the effect of refraction as the speed is reduced when entering the middle.
What is the concept of refraction?Refraction of light is a phenomenon that occurs in electromagnetic waves that are transmitted through some translucent or transparent medium. When light penetrates refractive media, that is, those capable of refracting light, its speed decreases.
the type of interaction that happend is refraction as the speed is reduced when entering the middle.
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The speed of an aircraft is sometimes expressed as a mach number: mach 1 means that the speed is equal to the speed of sound. if you wish to determine the speed of an aircraft going mach 2.2, for example, in meters per second or miles per hour, what additional information do you need?
"where are the majority of transform faults located?"
The molecules that make up a plastic two-liter bottle A) are in constant, rapid, random motion. B) have a volume of more than two liters if melted. C) expand to take the shape of wherever the bottle is placed. D) are closer together than the molecules of soda that they contain.
The molecules that make up a plastic two-liter bottle are closer together than the molecules of soda that they contain.
What is solid?One of the four common states of matter is solid. Solids have tightly bonded molecules that can only vibrate. This means that solids have a fixed shape that only modifies under the application of force. This contrasts with the random movement of gases and liquids, known as flow.
Melting is the process by which a solid turns into a liquid. When liquids are frozen, they solidify. Dry ice is one of the few materials that can transform directly from a solid to a gas. Sublimation is the term used for this.
Numerous types of forces can exist between the atoms in a solid. For instance, ionic sodium and chlorine are bound together by ionic bonds to form the crystal structure of sodium chloride (common salt).
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