A boy is running to the east and jumps into a stationary boat in a lake. Once the boy lands in the boat, the boat moves to the e
1 answer:
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The acceleration is
Explanation:
We can solve the problem by applying Newton's second law of motion: in fact, the net force acting on an object is equal to the product between the mass of the object and its acceleration. Therefore we can write:
where:
is the resultant force acting on the object
m is its mass
a is its acceleration
In this problem, we have the following forces acting on the system:
(forward)
(backward)
So, Newton's second law can be rewritten as:
where:
m = 1050 kg is the mass of all the students
Solving the formula for a, we find the acceleration of the system:
Learn more about Newton's second law:
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(1) acceleration, a = 4 m/ (2) acceleration of 10 N,
= 1 m/
and acceleration of 30 N,
= 3 m/
Explanation:
- Here, the acceleration of the object could be found using the equation derived in the second law of motion. The equation is given as, F = ma where m is the acceleration of the object, m is the mass of the object and F is the applied on the object.
- Let
be the acceleration for force 10 N, to find acceleration rearrange the equation to a =
. When we substitute 10 N force and 10 kg mass of the box in the equation. We will get
- Let
be the acceleration for force 30 N, to find acceleration rearrange the equation to F =
- To find the combined, just add the force and substitute in the above equation. Hence, a = 4 m/
Complete question:
A pendulum of length L = 48.5 cm and mass m = 169 g is released from rest when the cord makes an angle of 65.4° with the vertical. What is the speed of the mass (m/s) upon reaching its lowest point?
Answer:
The speed of the mass upon reaching its lowest point is 2.36m/s
Explanation:
To obtain the speed of the mass upon reaching its lowest point, we apply the principle of conservation of mechanical energy. At the lowest point, the kinetic energy of the pendulum is maximum and at the highest point, the vertical displacement is maximum, thus potential energy is maximum.
Kinetic energy at the lowest point = Potential energy at the highest point
From my explanation above, h is the vertical displacement, when potential energy of the pendulum is maximum. Considering a right angled triangle, this vertical displacement, h is the adjacent of the triangle, and it is equal to
L - Lcosθ.
h = 48.5 - 48.5cos(65.4) = 28.31 cm = 0.2831 m
Therefore, the speed of the mass upon reaching its lowest point is 2.36m/s