Question

Lorenzo pushes on a heavy crate with an applied force of 250 N at an angle of 30° below the horizontal. The force of friction opposing the applied force is 95 N. If the mass of the crate is 45 kg, what is the acceleration of the crate?

A. 0.67 m/s2 forward
B. 1.7 m/s2 forward
C. 2.7 m/s2 forward
D. 3.4 m/s2 forward

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Answer 1

A. 0.67 m/s² forward

Step-by-step explanation:

F applied = 250 N

Fsin30 = 250/2 = 125N

F friction= 95 N

Fnet = F app - F fri

= 125-95

= 30 N ( forward)

Fnet = m a

30 = 45 a

a= 30/45

=2/3

= 0.67 m/s² (forward)