Question

A cart is pulled by a force of 250 N at an angle of 35° above the horizontal. The cart accelerates at 1.4 m/s2. The free-body diagram shows the forces acting on the cart.

The mass of the cart, to the nearest whole number, is kg?

Answer 1

The answer is 146 kg. 

Answer 2

Answer : The mass of the cart is, 146 Kg.

Solution : Given,

Force = 250 N

Angle = $35^o$

Acceleration = $1.4m/s^2$

Formula used :

$F\times \cos \theta=m\times a$

where,

F = force

$\theta$ = angle

a = acceleration

m = mass of the cart

Now put all the values in the above formula, we get the mass of the cart.

$250N\times \cos (35^o)=m\times (1.4m/s^2)$

$m=146Kg$

Therefore, the mass of the cart is, 146 Kg.