Question

# A crate of mass m1 = 15.3 kg is pulled by a massless rope up a...

A crate of mass m1 = 15.3 kg is pulled by a massless rope up a 36.9° ramp. The rope passes over an ideal pulley and is attached to a hanging crate of mass m2 = 16.3 kg. The crates move 1.4 m, starting from rest.
Find the work done by gravity on the sliding crate.

A crate of mass m1 = 12.4 kg is pulled by a massless rope up a 36.9° ramp. The rope passes over an ideal pulley and is attached to a hanging crate of mass m2 = 16.3 kg. The crates move 1.70 m, starting from rest. If the frictional force on the sliding crate has magnitude 21.5 N and the tension in the rope is 121.5 N, find the total work done on the sliding crate.
The total work done on the sliding crate is

here,

1)

the mass of sliding crate , m1 = 15.3 kg

theta = 36.9 degree

s = 1.4 m

the work done by gravity on the sliding crate , Wg = - change in gravitational potential energy

Wg = - (m1 * g * s * sin(theta))

Wg = - 15.3 * 9.81 * 1.4 * sin(36.9)

Wg = - 126.1 J

2)

the mass of sliding crate , m1 = 12.4 kg

theta = 36.9 degree

s = 1.7 m

the tension in the rope , T = 121.5 N

frictional force , ff = 21.5 N

the total Work done on sliding crate , W = Wff + Wg + Wt

W = (- ff * s ) + ( - m1 * g * s * sin(theta) + (T * s))

W = 1.7 * ( - 21.5 - 12.4 * 9.81 * sin(36.9) + 121.5) J

W = 45.9 J

#### Earn Coins

Coins can be redeemed for fabulous gifts.