Hello!
A person pushing a stroller start from rest uniformly accelerating at a rate of 0.500 m/s². What is the velocity of the stroller after it traveled 4.75 m ?
We have the following data:
a (acceleration) = 0.500 m/s²
Vf (final velocity) = ? (in m/s)
Vi (initial velocity) = 0 m/s
Δx (displacement) = 4.75 m
Solving:
Let's apply the Torricelli Equation, to find the velocity of the stroller, let's see:
Answer:
The velocity of the stroller is approximately 2.18 m/s
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According to the question,
The work done is:
→
or,
→
By substituting the values, we get
Thus the above response is correct.
Learn more about work done here:
An unbalanced force occurs when the forces acting on an object are not equal and opposite, causing a change in the object's motion. This is dictated by Newton's second law of motion. When forces are balanced, the object remains at rest or continues its motion unchanged.
An unbalancedforce refers to a scenario in which the forces acting on an object are not equal in magnitude and direction, causing a change in the motion of the object. In accordance with Newton's second law of motion, the motion change is directly proportional to the total unbalanced force and occurs in the direction of that force. Exceptionally, if the forces acting on an object are balanced, the object will either stay at rest or continue moving with a constant velocity, since the net force equals zero.
Consider this simple example to illustrate the principle. If you push a table to the right with a force of 10 Newtons and nothing pushes back with an identical force, the unbalanced force causes the table to move to the right. This is because there is an unbalanced force exerted upon it. Conversely, if an equal force of 10 Newtons is applied to the table from the opposite direction, these forces are balanced, and the table remains stationary because the net force is zero.
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Explanation :
The gravity of the Sun causes the planets to move in a circular path. This is because of Newton's first law of motion.
According to Newton's first law, the body will remain at rest or in uniform motion untill external unbalanced force acts.
There are two forces acting on planets i.e. gravitational force and inertia of their orbits. So, form Newton's first law the planets keeps on moving in a circular path.
Answer:
The mass of the Al-duckie should be 30 kg.
Explanation:
We will use the first law of thermodynamics:
ΔU = m·Cv·ΔT
Since the specific heat of water is 4.185 J(gºC), the change in the water's internal energy would be:
ΔU = 100 kg · 4.185 J(gºC) · (42ºC - 38ºC) = 1674 KJ
Given that no heat is lost, all the internal energy that the water loses while cooling down will transfer to the duckie. So, if the duckie has ΔU = 1674 KJ and its final temperature is the desired 38 ºC, we can calculate its mass using the first law again: