The recoil of a shotgun can be significant. Suppose a 3.6-kg shotgun is held tightly by an arm and shoulder with a combined mass
2 answers:
Answer:
The recoil velocity of the shotgun and arm-shoulder combination is
Explanation:
To solve this problem we are going to use the momentum conservation principle.
The total linear momentum of an isolated system remains constant if the sum of the exterior forces is zero. In this case, the sum of the exterior forces is zero. Therefore we can use this principle.
The equation that we are going to use is :
(I)
Where m1 is the mass of the shotgun and arm-shoulder combination.
Where v1 is the recoil velocity of the system formed by shotgun and arm-shoulder combination.
Where m2 is the mass of the projectile.
And where v2 is the velocity of the projectile.
The mass of the system formed by shotgun and arm-shoulder combination is the sum between the mass of the shotgun and the mass of the arm-shoulder combination.
If we replace all the data in the equation (I) :
Now, if we consider as positive the sense of the projectile's velocity the sense of the system's velocity formed by the shotgun and the arm-shoulder combination will be negative (because is the opposite sense).
We finalize adding a negative sign to the velocity :
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Answer:
a) 2.43 m/s
b) 4.83 m/s
c) 0.023 m/s²
Explanation:
a) Both cars cover a distance of 510 m in 210 s. Since car A has no acceleration
Speed = Distance / Time
Velocity of car A is 2.43 m/s
t = Time taken = 210 seconds
u = Initial velocity
v = Final velocity
s = Displacement = 510 m
a = Acceleration
c)
Acceleration of car B is 0.023 m/s²
b)
Final velocity of car B is 4.83 m/s
Answer:
the angular acceleration of the gate is approximately 1.61
Explanation:
Recall the formula that connects the net torque with the moment of inertia of a rotating object about its axis of rotation, and the angular acceleration (similar to Newton's second law with net force, mass, and linear acceleration):
In our case, both forces contribute to the same direction of torque, so we can add their torques up and get the net torque on the gate:
Now we use this value to obtain the angular acceleration by using the given moment of inertia of the rotating gate: