How are vectors quantities important to us in our daily life
1 answer:
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Answer:
a = 1.5*10^-3 m/s^2
x = 0.033m = 3.3cm
Explanation:
To calculate the acceleration and the distance traveled by the car you use the following formulas:
(1)
(2)
v: final velocity = 0,255 km/h
vo: initial velocity = 0 m/s
t: time = 3/4 min
a: acceleration = ?
x: distance
In order to use the equations (1) and (2) you first convert the units of the final velocity to m/s, and the time to seconds.
Next, you solve the equation (1) for the acceleration a:
With this value of a you can calculate the distance traveled by the car, by using the equation (2):
hence, the acceleration of the car is 1.5*10^-3 m/s^2 and the distance traveled in 3/4 min is 0.033m
Answer:
1: 6.18 cm
2: 52.5609 degrees
Explanation:
We have the pendulum speed at the origin, and in that moment, all energy is kinetic, so we can calculate the pendulum energy by:
Ec = 0.5*m*v^2 = 0.5*0.015*1.1^2 = 0.0091 J
Now with that energy, we can calculate the height the pendulum will reach, as in that moment, the kinetic energy is totally converted to gravitational potencial energy:
Eg = m*g*h = 0.0091
0.015 * 9.81 * h = 0.0091
h = 0.0091 / (0.015 * 9.81 ) = 0.0618 m = 6.18 cm
Looking at the image attached, we can see that the pendulum will form a triangle, and one of the cathetus will be the length of the pendulum minus the height it went up, and the hypotenusa will be the pendulum length.
So, we know that the sine of the angle will be the division between the opposite cathetus and the hypotenusa:
sin(angle) = (30-6.18)/30 = 23.82/30 = 0.794 -> angle = 52.5609 degrees
Answer:
The velocity of the ball at it's highest point is zero.
Explanation:
When we toss a ball upwards as we know that it's motion is an uniformly accelerated motion with acceleration = in the downward direction.
Hence as we throw the ball upwards it's speed will go on decreasing as it gains height. The ball will stop gaining height when it's velocity becomes zero and the ball starts to descend again towards earth.
If the ball is tossed at an angle with the horizontal in that case it's velocity at the top most point will not be zero but in our case since the ball is tossed vertically it's velocity at the topmost point will become zero.