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makvit [3.9K]
3 years ago
15

The buoyant force on a submerged boulder acts upward because _______.

Physics
1 answer:
vovikov84 [41]3 years ago
4 0
Greater water pressure acts on the bottom than on the top
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A crate of books is to be put on a truck with the help of some planks sloping up at 36◦ . The mass of the crate is 80 kg, and th
Dafna11 [192]

Answer:

F= 2.86KN

Explanation:

The attached diagram shows the motion of crate on a single line The forces acting on it have been resolved as shown in the attached figure.The kinetic friction opposes the motion.Now crate is moving with constant speed so the acceleration is constant.

Applying Newton's second law to determine the force F and also substituting the values for F_{k} to eliminate normal force

$\sum_F = ma

Now a_{x}  and  a_{y} components are zero

Horizontal and vertical forces are Force on crate, weight of crate and kinetic friction

$\sum F_{x} = Fcos\theta-f_{k}-mgsin\theta=0

$\sum F_{y} = F_{n}- Fsin\theta-mgcos\theta=0

therefore f_{k} = \mu_{k} F_{n}

Fcos\theta- \mu_{k} F_{n}-mgsin\theta=0  >>>  (1)

F_{n}=Fsin\theta+mgcos\theta

By putting the above equation in equation 1 we get F

F=\frac{mg(sin\theta+\mu_{k}cos\theta) }{cos\theta-\mu_{k}sin\theta }

By putting values we get

F = \frac{(80kg)(9.81\frac{m}{s^{2} })(sin36+(0.8)cos36) }{cos36-(0.8)sin36}

F= 2860.8 N

F= 2.86KN

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