Answer:
t = 0.11 second
The time taken to reach the maximum height of the trajectory is 0.11 second
Explanation:
Taking the vertical component of the initial velocity;
Vy = Vsin∅
Initial velocity V = 2.15 m/s
Angle ∅ = 30°
Vy = 2.15sin30 = 2.15 × 0.5
Vy = 1.075 m/s
The height of the rock at time t during the flight is;
From the equation of motion;
h(t) = Vy×t - 0.5gt^2
g= acceleration due to gravity = 9.8m/s^2
Substituting the given values;
h(t) = 1.075t - 0.5(9.8)t^2
h(t) = 1.075t - 4.9t^2
The rock is at maximum height when dh/dt = 0;
dh(t)/dt = 1.075 - 9.8t = 0
1.075 - 9.8t = 0
9.8t = 1.075
t = 1.075/9.8
t = 0.109693877551 s
t = 0.11 second
The time taken to reach the maximum height of the trajectory is 0.11 second
Answer:
The magnitude of the magnetic field is 1.83 x 
T.
Explanation:
The flow of an electric current in a straight wire induces magnetic field around the wire. When current is flowing through two wires in the same direction, a force of attraction exists between the wires. But if the current flows in opposite directions, the force of repulsion is felt by the wires.
In the given question, the direction of flow of current through the wires is opposite, thus both wires applies the same field on each other. The result to repulsion between them.
The magnetic field (B) between the given wires can be determined by:
B = 
where: I is the current, r is the distance between the wires and 
is the magnetic field constant.
But, I = 11 A, r = 0.12 m and = 4
x 
Tm/A
So that;
B = 
= 1.8333 x
B = 1.83 x T
Answer:
28 cm and 32 cm
Explanation:
1. The spring pendulum hangs vertically, oscillates harmonic with amplitude 2cm and angular frequency 20 rad/s. The natural length of
a spring is 30cm. What is the minimum and maximum length of the spring during the oscillation? Take g = 10m/s2.
As the amplitude is 2 cm and the natural length is 30 cm. So, it oscillates between 30 -2 = 28 cm to 30 + 2 = 32 cm.
So, the minimum length is 28 cm and the maximum length is 32 cm.
One consequence of Newton's third law of motion is that all actions have equal and opposite reactions. <em>(C)</em>
In fact, that's pretty much what the law itself says in so many words.
This would be B
Hope this helped
