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Levart [38]
3 years ago
12

The position of a particle moving along a coordinate line is s equals StartRoot 76 plus 6 t EndRoot​, with s in meters and t in

seconds. Find the rate of change of the​ particle's position at t equals 4 sec. The rate of change of the​ particle's position at t equals 4 sec is 104 4 m divided by sec.
Physics
1 answer:
Tanya [424]3 years ago
6 0

Answer:

= 3 /10

Explanation:

s = √(76 + 6t)

ds/dt = \frac{1}{2} (76 + 6t)^-^(^1^/^2^) . 6

at t = 4

ds / dt = \frac{1}{2} (76 + 6(4))^-^(^1^/^2^) . 6

  = \frac{1}{2} (100)^-^(^1^/^2^) . 6

  = 3 / 10

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A train is travelling at 15m/s. It accelerates at 3m/s² for 20 seconds. How far does the train travel in this time?
Fittoniya [83]

Answer:

Explanation:

The answer is 900m

4 0
3 years ago
Two objects are dropped from a bridge, an interval of 1.00 s apart. What is their separation 1.00 s after the second object is r
katen-ka-za [31]

Answer:

<em>171.5m</em>

Explanation:

The velocity of sound in water = 343m/s

Time taken = 1.00secs

using the formula to calculate the distance

2x = vt

x is the distance

v is the speed of sound

t is the time

x = vt/2

x = 343(1)/2

x = 171.5m

<em>hence their separation 1.00 s after the second object is released is 171.5m</em>

4 0
3 years ago
At the bottom of its path, the ball strikes a 2.30 kg steel block initially at rest on a frictionless surface. The collision is
Triss [41]

Answer:

(a). The speed of the ball after collision is 2.01 m/s.

(b). The speed of the block after collision 1.11 m/s.

Explanation:

Suppose, A steel ball of mass 0.500 kg is fastened to a cord that is 50.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal.

Given that,

Mass of steel block = 2.30 kg

Mass of ball = 0.500 kg

Length of cord = 50.0 cm

We need to calculate the initial speed of the ball

Using conservation of energy

\dfrac{1}{2}mv^2=mgl

v=\sqrt{2gl}

Put the value into the formula

u=\sqrt{2\times9.8\times50.0\times10^{-2}}

u=3.13\ m/s

The initial speed of the ball u_{1}=3.13\ m/s

The initial speed of the block u_{2}=0

(a). We need to calculate the speed of the ball after collision

Using formula of collision

v_{1}=(\dfrac{m_{1}-m_{2}}{m_{1}+m_{2}})u_{1}+(\dfrac{2m_{2}}{m_{1}+m_{2}})u_{2}

Put the value into the formula

v_{1}=(\dfrac{0.5-2.30}{0.5+2.30})\times3.13

v_{1}=-2.01\ m/s

Negative sign shows the opposite direction of initial direction.

(b). We need to calculate the speed of the block after collision

Using formula of collision

v_{2}=(\dfrac{2m_{1}}{m_{1}+m_{2}})u_{1}+(\dfrac{m_{1}-m_{2}}{m_{1}+m_{2}})u_{2}

Put the value into the formula

v_{2}=(\dfrac{2\times0.5}{0.5+2.30})\times3.13+0

v_{2}=1.11\ m/s

Hence, (a). The speed of the ball after collision is 2.01 m/s.

(b). The speed of the block after collision 1.11 m/s.

8 0
3 years ago
A 1.20 g sample of an unknown has a volume of 1.73 cm what is the density of the unknown
mariarad [96]
1.73 divide by 1.20=1.4416
7 0
3 years ago
A projectile is fired horizontally from a height of 78.4 m at a speed of 300 m/sec. How far did it travel horizontally before hi
Mice21 [21]

Answer:

Explanation:

Using the formula for calculating range expressed as;

R = U√2H/g

U is the speed = 300m/s

H is the maximum height = 78.4m

g is the acceleration due to gravity = 9.8m/s²

Substitute into the fromula;

R = 300√2(78.4)/9.8

R = 300 √(16)

R = 300*4

R = 1200m

Hence the projectile travelled 1200m before hitting the ground

3 0
3 years ago
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