If the coefficient of static friction between your friend and the car seat is 0.500 and you keep driving at a constant speed of
1 answer:
Answer:
90m
Explanation:
Let g = 9.8 m/s2. The friction is the product of normal force and its coefficient, and normal force is equal to gravity
The acceleration caused by friction, according to Newton's 2nd law:
For the friend to slide over, then the centripetal acceleration must be equal to friction acceleration.
Since you are driving at a constant speed of 21 m/s, then your maximum radius of curvature can be calculated using the following formula:
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Answer:
0.00098 N
Explanation:
The weight of an object is given by:
where
m is the mass of the object
g is the gravitational acceleration on the planet
In this problem, we have:
is the mass of the honeybee
is the acceleration due to gravity
Substituting into the equation, we find:
We need to write down momentum and energy conservation laws, this will give us a system of equation that we can solve to get our final answer. On the right-hand side, I will write term after the collision and on the left-hand side, I will write terms before the collision.
Let's start with energy conservation law:
This equation tells us that kinetic energy of two carts before the collision and 3 quarters of explosion energy is beign transfered to kinetic energy of the cart after the collision.
Let's write down momentum conservation law:
Because both carts have the same mass we can cancel those out:
Now we have our system of equation that we have to solve:
Part A
We need to solve our system for
. We will solve second equation for 
and then plug that in the first equation.
Now we have to plug this in the first equation:
We will multiply the first equation with 2 and divide by m:
Now we plug in the second equation into first one:
We end up with quadratic equation that we have to solve, I won't solve it by hand.
Coefficients are:
Solutions are:
Part B
We do the same thing here, but we must express from momentum equation:
Now we plug this into our energy conservation equation:
Again we end up with quadratic equation. Coefficients are:
Solutions are:
Let's start with energy conservation law:
This equation tells us that kinetic energy of two carts before the collision and 3 quarters of explosion energy is beign transfered to kinetic energy of the cart after the collision.
Let's write down momentum conservation law:
Because both carts have the same mass we can cancel those out:
Now we have our system of equation that we have to solve:
Part A
We need to solve our system for
Now we have to plug this in the first equation:
We will multiply the first equation with 2 and divide by m:
Now we plug in the second equation into first one:
We end up with quadratic equation that we have to solve, I won't solve it by hand.
Coefficients are:
Solutions are:
Part B
We do the same thing here, but we must express
Now we plug this into our energy conservation equation:
Again we end up with quadratic equation. Coefficients are:
Solutions are: