Question

In: Physics

A human (m=50kg) slides down a ramp inclined at 60 degrees. Determine the acceleration of the...

A human (m=50kg) slides down a ramp inclined at 60 degrees. Determine the acceleration of the human. Assume uk= 0.35

Expert Solution

As given that that the mass is sliding down with uk=0.35

So when the weight is resolved into its horizontal component

the vertical component will be as follows

now this force will be balanced by Normal Reaction. So,

N=

and there is a retarding force(which is frictional force) to the horizontal component of weight

but as there is motion so horizontal force must be greater than the frictional force as the motion is downward

now writing the equation of motion

-(1)

now as we know

f=ukN

f=uk*

So Equation 1 reduces to

Now eliminating mass the mass

we get acceleration

=>

Solvin it we get

a=7.50

genius_generous answered 2 years ago

A box of physics books slides down a ramp inclined at an angle of 40 degrees...

A box of physics books slides down a ramp inclined at an angle of 40 degrees to the horizontal. The total length of the ramp is 10m. The coefficient of kinetic friction between the box and the ramp is .2 for the top 8m and zero for the bottom 2m. Upon reaching the bottom of the ramp, a spring bounces the box back upward. (a) Find the distance that the box travels back up the ramp on the return bounce....

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...

A block of mass m = 2.1 kg slides down a 36 ° inclined ramp that...

A block of mass m = 2.1 kg slides down a 36 ° inclined ramp that has a height h = 3.1 m. At the bottom, it hits a block of mass M = 7.1 kg that is at rest on a horizontal surface. Assume a smooth transition at the bottom of the ramp. If the collision is elastic and friction can be ignored, determine the distance the mass m will travel up the ramp after the collision.

A block slides down a frictionless inclined ramp. If the ramp angle is 26° and its...

A block slides down a frictionless inclined ramp. If the ramp angle is 26° and its length is 29 m, find the speed of the block as it reaches the bottom of the ramp, assuming it started sliding from rest at the top.

A 2kg block slides down a surface inclined at 30 degrees. In traveling 50cm its speed...

A 2kg block slides down a surface inclined at 30 degrees. In traveling 50cm its speed changes from 1 to 2 m/s. Find the work done by gravity and coefficient of kinetic friction?

A box (with a penguin inside) with mass, M, slides down a frictionless ramp, starting a...

A box (with a penguin inside) with mass, M, slides down a frictionless ramp, starting a height H above ground level. At the lowest point of the ramp (height = -0.1H) it slides through a curved section of track with radius, R= 0.25H. The box (w/ penguin) then rises to ground level (height = 0) and at that point, leaves a jump at an angle θ. At the highest point of its trajectory, h2, it strikes a blob of glue...

A 0.25 kg block slides down a ramp that is 0.6 m tall, 0.8 m long...

A 0.25 kg block slides down a ramp that is 0.6 m tall, 0.8 m long and has a diagonal length of 1.0 m. The block starts at rest and arrives at the bottom with a speed of 1.3m/s. a.) How much heat was created by friction? b.)What is the average frictional force acting on the block? At what rate is kinetic energy being dissipated into heat near the bottom of the ramp? c.)Instead of a block, a cart with...

Beginning from rest, an object of mass 200 kg slides down a 9-m-long ramp. The ramp...

Beginning from rest, an object of mass 200 kg slides down a 9-m-long ramp. The ramp is inclined at an angle of 20o from the horizontal. Air resistance and friction between the object and the ramp are negligible. Let g = 9.81 m/s2. Determine the kinetic energy of the object, in kJ, and the velocity of the object, in m/s, at the bottom of the ramp.

an owl m=4.72kg slides down a semi-circular ramp r=7.5m. the owl starts at the top ramp...

an owl m=4.72kg slides down a semi-circular ramp r=7.5m. the owl starts at the top ramp at rest. when the owl is at an angle 31.9. what is the normal force exerted by the owl.

A mass m slides down a frictionless ramp and approaches a frictionless loop with radius R....

A mass m slides down a frictionless ramp and approaches a frictionless loop with radius R. There is a section of the track (between the ramp and the loop) with length 2R that has a kinetic friction coefficient of 0.5. From what height h must the mass be released to stay on the track? No figure. 1.5R 2.5R 3.5R 4.5R or 5.5R