Answer:
6.3 m/s
Explanation:
m = mass of the block = 1.10 kg
k = spring constant of the spring
x = stretch in the spring = 0.2 m
t = time taken by block to come to zero speed first time = 0.100 s
T = Time period of oscillation
Time period of oscillation is given as
T = 2t
T = 2 (0.1)
T = 0.2 s
Time period is also given as
k = 1084.6 N/m
v = maximum speed of the block
using conservation of energy
Maximum kinetic energy = Maximum spring potential energy
(0.5) m v² = (0.5) k x²
m v² = k x²
(1.10) v² = (1084.6) (0.2)²
v = 6.3 m/s
Answer:
c)They can also be simultaneous in S if their separation is zero.
Explanation:
By relativity theory, we can say two events when seen from two different reference frames can only be simultaneous when they are at the same space location and occur simultaneously in at least one reference frame, therefore when Frame S′ usually passes Frame S. Two occurrences in S′ are simultaneous, therefore these occurrences can be simultaneous in S when their separation is 0 (that is they are at the same location)
And therefore option c. If their separation is zero, they can also be simultaneous in S.
Move the objects faster to get more friction.
<h2>
Answer:</h2>
The rate of deceleration is -0.14
<h2>
Explanation:</h2>
Using one of the equations of motion;
v = u + at
where;
v = final velocity of the boat = 0m/s (since the boat decelerates to a stop)
u = initial velocity of the boat = 25m/s
a = acceleration of the boat
t = time taken for the boat to accelerate/decelerate from u to v = 3 minutes
<em>Convert the time t = 3 minutes to seconds;</em>
=> 3 minutes = 3 x 60 seconds = 180seconds.
<em>Substitute the values of v, u, t into the equation above. We have;</em>
v = u + at
=> 0 = 25 + a(180)
=> 0 = 25 + 180a
<em>Make a the subject of the formula;</em>
=> 180a = 0 - 25
=> 180a = -25
=> a = -25/180
=> a = -0.14
The negative value of a shows that the boat is decelerating.
Therefore, the rate of deceleration of the speed boat is 0.14
As we know that range of the projectile motion is given by
here we know that range will be same for two different angles
so here we can say the two angle must be complementary angles
so the two angles must be
so it is given that one of the projection angle is 75 degree
so other angle for same range must be 90 - 75 = 15 degree
so other projection angle must be 15 degree
