Answer:
20 m/s
Explanation:
The frictional force the road exerts on the car provides the centripetal force that keeps the car in circular motion along the curve:

where
F is the centripetal force
m is the mass of the car
r is the radius of the curve
v is the speed of the car
In this problem we have:
m = 2000 kg
r = 200 m
F = 4000 N is the maximum force
Re-arranging the equation, we can calculate the maximum speed v corresponding to this force:

Answer:
w =
v l
Explanation:
Let's form a system formed by the clay sphere and the rod, in this case the angular momentum is conserved
initial instant. Before the crash
L₀ = m v l
Final moment. After the collision with the clay stuck to the rod
L_f = I_{total} w
angular momentum is conserved
L₀ = L_f
m v l = I_total w
w =
v l
the total moment of inertia is the sum of the moments of inertia of the two bodies
the moment of inertia of the rod is
I_rod = I R²
I_total = m l² + IR²
we substitute
w =
v l
At 10 m/s, it will take
(2 m)/(10 m/s) =
0.2 sto bridge the gap.
_____
However, it will take an additional 0.514 seconds (0.714 s total) for the policeman to land on the building below. The answer depends on the meaning of the question.
The magnitude of a velocity vector is 60 m/s.
To find the magnitude, the given values are,
x - components = 36 m/s
y - components = 48 m/s
<h3>What is magnitude?</h3>
- The term magnitude can be defined as “ quantity ”.
- For instance, the magnitude can be used for describing about the comparison of speeds.
- It can also be used to explain the distance travelled by an object or to explain the amount of an object in terms of its magnitude.
- Magnitude of the velocity vector is total value which is square root of the value.
The magnitude of the vector can be,
| a | = √ ( x² + y² )
Substituting the values of x component and y component given,
= √ ( 36² + 48² )
= √ ( 1296 + 2304)
= √ 3600
= 60 m/s
The magnitude is found to be 60 m/s.
Hence, Option B is the correct answer.
Learn more about magnitude,
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