Block on the incline:
• net force parallel to the incline
∑ <em>F</em> (para.) = <em>m₁ g</em> sin(38°) - <em>T</em> = <em>m₁ a</em>
where <em>T</em> is the magnitude of tension in the cord.
Notice that we take down-the-incline to be the positive direction, so that if the 3.9-kg block pulls the 2.6-kg block upwards, then the acceleration of the system is positive.
Suspended block:
• net vertical force
∑ <em>F</em> (vert.) = <em>T</em> - <em>m₂</em> <em>g</em> = <em>m₂</em> <em>a</em>
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Solve both equations for the acceleration <em>a</em>, set the results equal to one another, and solve for <em>T</em> :
<em>a</em> = <em>g</em> sin(38°) - <em>T</em>/<em>m₁</em>
<em>a</em> = <em>T</em>/<em>m₂</em> - <em>g</em>
==> <em>g</em> sin(38°) - <em>T</em>/<em>m₁</em> = <em>T</em>/<em>m₂</em> - <em>g</em>
==> <em>T</em> (1/<em>m₂</em> + 1/<em>m₁</em>) = <em>g</em> (sin(38°) + 1)
==> <em>T</em> = <em>g</em> (sin(38°) + 1) / (1/<em>m₂</em> + 1/<em>m₁</em>)
==> <em>T</em> = (9.81 m/s²) (sin(38°) + 1) / (1/(2.6 kg) + 1/(3.9 kg)) ≈ 25 N
Answer:
5.843 m
Explanation:
suppose that the arrow leave the bow with a horizontal speed , towards he bull's eye.
lets consider that horizontal motion
distance = speed * time
time = 40/ 37 = 1.081 s
arrow doesnot have a initial vertical velocity component. but it has a vertical motion due to gravity , which may cause a miss of the target.
applying motion equation
(assume g = 10 m/s²)
Arrow misses the target by 5.843m ig the arrow us split horizontally
Answer:
(1/2)*n = .05 by the definition of half-life where n is the number of half-lives
n ln .5 = ln .05
n = ln .05 / ln .5 = 4.32 number of half-lives
So 4.32 * 20 = 86.4 years has passed
Actually, they only want the mass left. However, all that has changed is that
95% of the original radioactive atoms have changed to a different form of about the same amount of mass. The amount of mass remaining would be about the same. Also, one doesn't know the percentage of radioactive atoms
that formed the original mass.
If more microscopic technology is invented, then more things in the world can be discovered. Likewise, if a new element is discovered, then people can use it in their technology.
Answer:
1.04 s
Explanation:
The computation is shown below:
As we know that
t = t' × 1 ÷ (√(1 - (v/c)^2)
here
v = 0.5c
t = 1.20 -s
So,
1.20 = t' × 1 ÷ (√(1 - (0.5/c)^2)
1.20 = t' × 1 ÷ (√(1 - (0.5)^2)
1.20 = t' ÷ √0.75
1.20 = t' ÷ 0.866
t' = 0.866 × 1.20
= 1.04 s
The above formula should be applied