A crate of mass 50.0 kg slides down a 60.0o incline. The crates acceleration is 4.00...

A crate of mass 50.0 kg slides down a 60.0^o incline. The crates acceleration is 4.00 m/s², and the incline is 10.0 meter long. a) What is the kinetic energy of the crate as it reaches the bottom of the incline? b) How much work is spent in overcoming friction? c) What is the magnitude of friction force that acts on the crate as it slides down the incline?
An advertisement claims that a certain 1200kg car can accelerate from rest to a speed of 25.0 m/s in a time of 8.00 s. (a) What is the change in kinetic energy during 8.00 s? (b) What is the impulse of this car in a time of 8.00 s (c) What is the power of its motor to produce such acceleration? Ignore friction and drag forces.
A playground merry-go-around is a metal disk of radius 2.50 m and mass of 80.0kg. Two kids, each of mass 40.0 Kg are riding on the outer rim of the disk. When they move halfway in toward the center (radius 1.25m), by what factor does the moment of inertia change?

Expert Solution

genius_generous answered 2 years ago

A block of mass m = 2.30 kg slides down a 30.0∘ incline which is 3.60...

A block of mass m = 2.30 kg slides down a 30.0∘ incline which is 3.60 m high. At the bottom, it strikes a block of mass M = 6.20 kg which is at rest on a horizontal surface (Figure 1). (Assume a smooth transition at the bottom of the incline.) The collision is elastic, and friction can be ignored. a) Determine the speed of the block with mass m = 2.30 kg after the collision. b)Determine the speed of...

A crate of mass 10.3 kg is pulled up a rough incline with an initial speed...

A crate of mass 10.3 kg is pulled up a rough incline with an initial speed of 1.43 m/s. The pulling force is 93.0 N parallel to the incline, which makes an angle of 19.4° with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 4.97 m. (a) How much work is done by the gravitational force on the crate? J (b) Determine the increase in internal energy (related to thermal energy, having the opposite...

A crate of mass 9.2 kg is pulled up a rough incline with an initial speed...

A crate of mass 9.2 kg is pulled up a rough incline with an initial speed of 1.42 m/s. The pulling force is 96N parallel to the incline, which makes an angle of 20.4 with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 5.02 m. A) how much work is done by the gravitational force on the crate? B) determine the increase in internal energy of the crate-incline system owing to friction? C) how...

A crate of mass 11.0 kg is pulled up a rough incline with an initial speed...

A crate of mass 11.0 kg is pulled up a rough incline with an initial speed of 1.40 m/s. The pulling force is 102 N parallel to the incline, which makes an angle of 19.0° with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 4.94 m. (a) How much work is done by the gravitational force on the crate? J (b) Determine the increase in internal energy of the crate–incline system owing to friction....

A crate of mass 9.4 kg is pulled up a rough incline with an initial speed...

A crate of mass 9.4 kg is pulled up a rough incline with an initial speed of 1.52 m/s. The pulling force is 110 N parallel to the incline, which makes an angle of 20.8° with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 4.92 m. (a) How much work is done by the gravitational force on the crate? J (b) Determine the increase in internal energy of the crate–incline system owing to friction....

A 50 kg crate slides down a ramp that is inclined by 30 degrees from the...

A 50 kg crate slides down a ramp that is inclined by 30 degrees from the horizontal. The acceleration of the crate parallel to the surface of the ramp is 2.0m/s^2, and the length of the ramp is 10m. Determine the kinetic energy accumulated by the crate when it reaches the bottom of the ramp if it started from rest at the top of the incline. Calculate the amount of energy lost by the crate due to friction in its...

You place a crate of mass 31.6 kg on a frictionless 3.00-meter-long incline. You release the...

You place a crate of mass 31.6 kg on a frictionless 3.00-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.34 s after you released it. What is the angle of the incline? A) 24.9 degrees B) 19.9 degrees c) 29.9 degrees D) 44.9 degrees

An 15.0-kg package in a mail-sorting room slides 4.00 mm down a chute that is inclined...

An 15.0-kg package in a mail-sorting room slides 4.00 mm down a chute that is inclined at 59.0 ∘∘ below the horizontal. The coefficient of kinetic friction between the package and the chute's surface is 0.90. 1.Calculate the work done on the package by gravity. Express your answer with the appropriate units. 2.Calculate the work done on the package by the normal force. Express your answer with the appropriate units. 3.What is the net work done on the package? Express...

A sphere of radius 20 cm and a mass of 3 kg rolls down an incline...

A sphere of radius 20 cm and a mass of 3 kg rolls down an incline of 14.6o and 14 cm high. a. Calculate its translational and rotational kinetic energy when it reaches the bottom. b. What is the ratio of the translational kinetic energy to the rotational kinetic energy? c. What quantities does this ratio depend on?

A dockworker loading crates on a ship finds that a 34-kg crate, initially at rest on...

A dockworker loading crates on a ship finds that a 34-kg crate, initially at rest on a horizontal surface, requires a 73-N horizontal force to set it in motion. However, after the crate is in motion, a horizontal force of 50 N is required to keep it moving with a constant speed. Find the coefficients of static and kinetic friction between crate and floor

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