Question

A 44 kg block lies on a horizontal frictionless surface. A horizontal force of 110 N is applied to the block.

a) determine the acceleration of the block

b) calculate the distance the block will travel if the force is applied for 8 s.

c) calculate the speed of the block after the force has been applied for 8 s.

Answer 1

Mass of the block = m = 44 kg

Force applied on the block = F = 110 N

Acceleration of the block = a

F = ma

110 = (44)a

a = 2.5 m/s²

Time period the force is applied for = T = 8 sec

Initial speed of the block = V₁ = 0 m/s

Speed of the block after 8 sec = V₂

V₂ = V₁ + aT

V₂ = 0 + (2.5)(8)

V₂ = 20 m/s

Distance the block travels in 8 sec = D

D = V₁T + aT²/2

D = (0)(8) + (2.5)(8)²/2

D = 80 m

a) Acceleration of the block = 2.5 m/s²

b) Distance the block will travel if the force is applied for 8 sec = 80 m

c) Speed of the block after the force has been applied for 8 sec = 20 m/s