Explanation:
Given:
Acceleration of car = 10 m/s
Distance travelled in 5 sec = 150 m
To find:
Distance travelled in the next 5 seconds
Concept:
There are 2 ways to app this kind of questions .
Either , we can find the total distance travelled in 10 seconds and then subtract 150 m from it.
Whereas , you can find out the final velocity at the end of the 5th seconds. Using equation of motion, then get the distance travelled in next 5 seconds.
Calculation:
v² = u² + 2as
=> ( u + at)² = u² + 2as
=> u² + 2uat + a²t² = u² + 2as
=> 2uat + (at)² = 2as
=> 2u (10)(5) + (10 × 5)² = 2 (10)(150)
=> 100u = 3000 - 2500
=> 100u = 500
=> u = 5 m/s
Distance travelled in 10 seconds :
s = ut + ½at²
=> s = (5 × 10) + ½(10)(10)²
=> s = 50 + 500
=> s = 550 m
Distance travelled in the 2nd half will be :
d = 550 - 150
=> d = 400 m
So final answer is :
Explanation:
We have,
Savannah drove 716 miles on Monday and She drove another 572 miles on Tuesday.
It is required to find the total distance covered by her altogether. It is equal to the sum of distance covered on Monday and distance covered on Tuesday. So,
d = 716 miles + 572 miles
d = 1288 miles
So, she drive 1288 miles altogether.
The velocity equation is 
Known facts:
- t = 3.83s
- a= -3.04
- intial velocity = 0
Plug into equation known quantities:
Thus the final velocity is -11.6432m/s
Hope that helps!
Answer:
The maximum torque is 
Explanation:
From the question we are told that
The length of the wire is 
The current flowing through the wire is 
The magnetic field is 
The maximum torque is mathematically evaluated as
Where 
is the magnetic dipole moment which is mathematically represented as
Where 
is the number of turns which from the question is 1
substituting values
Now
Answer:
The new kinetic energy would be 16 times greater than before.
Explanation:
Kinetic energy is found using this formula:
- KE = 1/2mv²
- where KE = kinetic energy (J), m = mass (kg), and v = velocity (m/s)
We can see that kinetic energy is directly proportional to the square of the velocity, meaning that if the speed was increased by 4 times, then the kinetic energy would get increased by a factor of 16.
The velocity just before the ball hits the ground can be found by the equation:
Let's substitute h = 10 m and h = 40 m into this formula.
We can see that the velocity increases by a factor of 4 (10 m → 40 m).
Therefore, this means that the kinetic energy would also be increased by a factor of (4)² = 16. Thus, the answer is D) The new kinetic energy would be 16 times greater than before.
