A man is stranded on a raft (mass of man and raft = 1300 kg). By paddling, he ca

Question

A man is stranded on a raft (mass of man and raft = 1300 kg). By paddling, he causes an average force P of 17 N to be applied to the raft in a direction due east (the +x direction). The wind also exerts a force A on the raft. This force has a magnitude of 15 N and points 60 degrees north of east. Ignoring any resistance from the water, find: A. the x and y components of the raft’s acceleration.

B. The x and y components of the raft’s velocity.
A man is stranded on a raft (mass of man and raft = 1300 kg). By paddling, he causes an average force P of 17 N to be applied to the raft in a direction due east (the +x direction). The wind also exerts a force A on the raft. This force has a magnitude of 15 N and points 60 degrees north of east. Ignoring any resistance from the water, find: A. the x and y components of the raft’s acceleration.

B. The x and y components of the raft’s velocity.
A man is stranded on a raft (mass of man and raft = 1300 kg). By paddling, he causes an average force P of 17 N to be applied to the raft in a direction due east (the +x direction). The wind also exerts a force A on the raft. This force has a magnitude of 15 N and points 60 degrees north of east. Ignoring any resistance from the water, find: A. the x and y components of the raft’s acceleration.

B. The x and y components of the raft’s velocity.

Explanation / Answer

a)

Net Force on X-direction

Fx = 17+15Cos60 = 24.5 N

Net Force on Y-direction

Fy=15sin60= 13 N

X-component of acceleration

ax=Fx/m =24.5/1300 =0.01885 m/s2

Y-Component of acceleratin

ay =Fy/m =13/1300=0.01 m/s2

b)

For Part B ,we need more information inital velocity and time is needed to calculate the raft velocity

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