A 200 kg object is pulled up a rough incline plane as shown in the picture above. The object accelerates at 1 m/s^2. Calculate the tension on the rope. A. 1,136 N
B. 2,203 N
C. 712 N
D. 957 N

Explanation:

μ = 0.05 is hardly a "rough surface", More like very slick ice. But OK

Forces acting parallel to the ramp with UP RAMP being positive direction.

                                  F = ma

Tension minus weight minus friction will equal mass acceleration

T - mgsinθ - μmgcosθ = ma

                                  T = m(a + g(sinθ + μcosθ))

                                  T = 200(1 + 9.8(sin25 + 0.05cos25))

                                  T = 1,117.14995

Which is closest to answer A.

Understand that answer precision to 3 or 4 significant digits as exampled by our solution options CANNOT be justified by input numbers with only a single significant digit as in this question.

In fact, we cannot get the 1136 N result unless we also use gravity to a single significant digit of 10 m/s²