Does the banana hit the monkey if you aim straight at it?
1 answer:
You might be interested in
1) Final kinetic energy of the cart: B) 50 J
2) Final speed of the cart: C) 3.2 m/s
3) Height reached along the ramp: A) 0.5 m
Explanation:
1)
We can solve this part of the problem by using the work-energy theorem, which states that the work done on an object is equal to the kinetic energy gained by the object itself. Mathematically:
where
W is the work done
is the final kinetic energy
is the initial kinetic energy
In this problem, the work done on the cart is
W = 50 J
And assuming it starts from rest, its initial kinetic energy is zero:
Therefore, the final kinetic energy is:
2)
The kinetic energy of an object is the energy possessed by an object due to its motion; it is calculated as
where
m is the mass of the object
v is its speed
For the cart in this problem, we have:
K = 50 J is its final kinetic energy
m = 10 kg is the cart
Therefore, solving the formula for v, we find its speed:
3)
We can think this problem in terms of conservation of energy. In fact, as the cart rolls up the ramp, its kinetic energy is converted into gravitational potential energy, which is given by
where
m is the mass
is the acceleration of gravity
h is the heigth of the cart
When the cart reaches the maximum height, all the kinetic energy has been converted into potential energy, so we can write:
Re-arranging,
And since we know the initial speed of the cart along the ramp,
v = 3.2 m/s
we can find the maximum height reached along the ramp:
Learn more about work, kinetic energy and potential energy:
#LearnwithBrainly
Complete Question
The complete question is shown on the first uploaded image
Answer:
The temperature change is
Explanation:
From the question we are told that
The velocity field with which the bird is flying is
The temperature of the room is
The time considered is t = 10 \ seconds
The distance that the bird flew is x = 1 m
Given that the bird is inside the room then the temperature of the room is equal to the temperature of the bird
Generally the change in the bird temperature with time is mathematically represented as
Here the negative sign in is because of the negative sign that is attached to x in the equation
So
From the given equation of velocity field
So
substituting the given values of x and t
